Based on the provided process variants, I will generate a DECLARE model that captures the underlying business rules and constraints. Please note that this model might not be exhaustive, and additional constraints might be necessary to fully capture the process behavior.

Here is the generated DECLARE model in Python dictionary format:
```python
declare_model = {
    'existence': {
        'Create Fine': (1.0, 1.0),
        'Send Fine': (1.0, 1.0),
        'Insert Fine Notification': (1.0, 1.0),
        'Add penalty': (1.0, 1.0),
        'Payment': (1.0, 1.0),
        'Send for Credit Collection': (1.0, 1.0),
        'Insert Date Appeal to Prefecture': (1.0, 1.0),
        'Send Appeal to Prefecture': (1.0, 1.0),
        'Receive Result Appeal from Prefecture': (1.0, 1.0),
        'Notify Result Appeal to Offender': (1.0, 1.0),
        'Appeal to Judge': (1.0, 1.0)
    },
    'init': {
        'Create Fine': (1.0, 1.0)
    },
    'responded_existence': {
        ('Create Fine', 'Send Fine'): (1.0, 1.0),
        ('Send Fine', 'Insert Fine Notification'): (1.0, 1.0),
        ('Insert Fine Notification', 'Add penalty'): (1.0, 1.0),
        ('Add penalty', 'Payment'): (1.0, 0.5),  # Payment is not always present
        ('Add penalty', 'Send for Credit Collection'): (1.0, 0.5),  # Send for Credit Collection is not always present
        ('Insert Date Appeal to Prefecture', 'Send Appeal to Prefecture'): (1.0, 1.0),
        ('Send Appeal to Prefecture', 'Receive Result Appeal from Prefecture'): (1.0, 1.0),
        ('Receive Result Appeal from Prefecture', 'Notify Result Appeal to Offender'): (1.0, 1.0)
    },
    'coexistence': {
        ('Create Fine', 'Send Fine'): (1.0, 1.0),
        ('Send Fine',